1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a) Find a basis...

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1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a) Find a basis for the span of these vectors showing a row reduced matrix to support your result. State the dimension of this subspace of R'. (b) Show that these three vectors are dependent by writing an explicit nontrivial linear combination of these vectors that is the zero vector. 1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a) Find a basis for the span of these vectors showing a row reduced matrix to support your result. State the dimension of this subspace of R'. (b) Show that these three vectors are dependent by writing an explicit nontrivial linear combination of these vectors that is the zero vector.